SOLVED: Persicaria (?) and a perennial shrubby pea ID

First plant is a ground cover for shade. It is just finishing blooming now (early spring start here). Leaves get a bit bigger. It ends up being about 6"-8" tall. Herbaceous. Clump forming (so far). Lady who bought it was told it was a native. I am not so sure, but I have been wrong before. Sorry the flowers aren't in close up - they are the classic persicaria bottle brushish flowers in white with dark pollen bearing thingies (anthers? stamens? I can never remember)

The second is a very nice and well behaved perennial pea. Very compact, very nice. I'm hoping the seed I saved will sprout. The picture doesn't show that it is a really nice delicate pink. I have never seen one so compact before. Maybe a compact form of lathyrus vernus? Just starting to flower now.

Any help would be awesome, as I have tried to find out online what they may be, but haven't really gotten anywhere useful.

Thats definitely it for the pea. Thanks. I thought it might be a type of vernus but was having no luck....all the others were far too sprawly/leggy.

As for the other one - close but no cigar. Mine is much more compact. The flowers are on very short stems, leaves are fatter, and as I said - it has dark pollen thingies. However, I had totally forgotten that bistort is in that family, so it is giving me another avenue of options.